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2260272 = 24372312
BaseRepresentation
bin1000100111110100110000
311020211111210
420213310300
51034312042
6120240120
725132500
oct10476460
94224453
102260272
1113041a3
12910040
13611a51
1442ba00
152e9a9c
hex227d30

2260272 has 90 divisors (see below), whose sum is σ = 7018524. Its totient is φ = 624960.

The previous prime is 2260267. The next prime is 2260273. The reversal of 2260272 is 2720622.

2260272 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (2260273) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 72897 + ... + 72927.

22260272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2260272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3509262).

2260272 is an abundant number, since it is smaller than the sum of its proper divisors (4758252).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2260272 is a wasteful number, since it uses less digits than its factorization.

2260272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 2260272 is about 1503.4201009698. The cubic root of 2260272 is about 131.2361763219.

Adding to 2260272 its reverse (2720622), we get a palindrome (4980894).

The spelling of 2260272 in words is "two million, two hundred sixty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 49 56 62 84 93 98 112 124 147 168 186 196 217 248 294 336 372 392 434 496 588 651 744 784 868 961 1176 1302 1488 1519 1736 1922 2352 2604 2883 3038 3472 3844 4557 5208 5766 6076 6727 7688 9114 10416 11532 12152 13454 15376 18228 20181 23064 24304 26908 36456 40362 46128 47089 53816 72912 80724 94178 107632 141267 161448 188356 282534 322896 376712 565068 753424 1130136 2260272